Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.251311204357706 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 24 | 25 | -1 |
3 | 25 | 24.7486887956423 | 0.251311204357705 |
4 | 27 | 24.811846117078 | 2.18815388292198 |
5 | 24 | 25.3617537047151 | -1.36175370471513 |
6 | 26 | 25.0195297411446 | 0.980470258855398 |
7 | 24 | 25.2659329027345 | -1.26593290273446 |
8 | 24 | 24.9477897803122 | -0.947789780312217 |
9 | 21 | 24.709599589144 | -3.70959958914403 |
10 | 23 | 23.7773356487114 | -0.777335648711389 |
11 | 24 | 23.5819824906436 | 0.418017509356449 |
12 | 23 | 23.6870349743625 | -0.687034974362529 |
13 | 22 | 23.5143753875196 | -1.51437538751962 |
14 | 25 | 23.1337958850324 | 1.8662041149676 |
15 | 26 | 23.6027938887422 | 2.39720611125779 |
16 | 22 | 24.2052386436561 | -2.20523864365606 |
17 | 24 | 23.6510374642227 | 0.3489625357773 |
18 | 22 | 23.7387356593646 | -1.73873565936461 |
19 | 23 | 23.30177190675 | -0.301771906750002 |
20 | 25 | 23.2259332454233 | 1.77406675457666 |
21 | 24 | 23.671776098127 | 0.328223901873034 |
22 | 24 | 23.7542624422057 | 0.245737557794335 |
23 | 21 | 23.8160190438109 | -2.81601904381088 |
24 | 22 | 23.1083219064165 | -1.10832190641653 |
25 | 21 | 22.829788193299 | -1.82978819329896 |
26 | 21 | 22.3699419187215 | -1.36994191872149 |
27 | 20 | 22.0256601652275 | -2.02566016522749 |
28 | 20 | 21.5165890694847 | -1.51658906948474 |
29 | 22 | 21.1354532439168 | 0.864546756083204 |
30 | 21 | 21.3527235304116 | -0.352723530411613 |
31 | 23 | 21.2640801551786 | 1.73591984482143 |
32 | 22 | 21.7003362620491 | 0.299663737950915 |
33 | 24 | 21.7756451169359 | 2.22435488306414 |
34 | 21 | 22.3346504215177 | -1.33465042151765 |
35 | 22 | 21.9992378166895 | 0.000762183310467179 |
36 | 20 | 21.9994293618952 | -1.99942936189523 |
37 | 23 | 21.4969503609292 | 1.50304963907082 |
38 | 21 | 21.8746835759335 | -0.874683575933481 |
39 | 21 | 21.6548657930337 | -0.654865793033732 |
40 | 21 | 21.4902906818938 | -0.490290681893761 |
41 | 22 | 21.3670751401417 | 0.632924859858321 |
42 | 24 | 21.5261362489406 | 2.47386375105939 |
43 | 21 | 22.1478459276362 | -1.14784592763622 |
44 | 23 | 21.8593793851449 | 1.14062061485513 |
45 | 25 | 22.1460301255793 | 2.85396987442066 |
46 | 23 | 22.8632647319206 | 0.136735268079391 |
47 | 24 | 22.8976278368198 | 1.10237216318018 |
48 | 25 | 23.174666312799 | 1.82533368720096 |
49 | 28 | 23.6333931200842 | 4.3666068799158 |
50 | 26 | 24.7307703540325 | 1.26922964596751 |
51 | 25 | 25.0497419849671 | -0.0497419849670884 |
52 | 24 | 25.0372412668179 | -1.03724126681787 |
53 | 25 | 24.7765709148444 | 0.223429085155644 |
54 | 26 | 24.8327211473234 | 1.16727885267664 |
55 | 24 | 25.1260714016108 | -1.12607140161081 |
56 | 21 | 24.8430770414792 | -3.84307704147923 |
57 | 22 | 23.8772687217456 | -1.87726872174563 |
58 | 25 | 23.4054900583807 | 1.59450994161931 |
59 | 27 | 23.8062082721694 | 3.19379172783063 |
60 | 26 | 24.6088439177582 | 1.39115608224184 |
61 | 24 | 24.9584570282359 | -0.958457028235909 |
62 | 27 | 24.7175860381448 | 2.28241396185517 |
63 | 23 | 25.2911822397415 | -2.2911822397415 |
64 | 23 | 24.7153824716691 | -1.71538247166908 |
65 | 23 | 24.2842876367798 | -1.28428763677982 |
66 | 25 | 23.961531764039 | 1.03846823596103 |
67 | 26 | 24.2225104671056 | 1.77748953289444 |
68 | 22 | 24.6692135023505 | -2.66921350235048 |
69 | 23 | 23.9984102423869 | -0.998410242386932 |
70 | 27 | 23.7474985619296 | 3.2525014380704 |
71 | 25 | 24.5648886155062 | 0.435111384493755 |
72 | 24 | 24.6742369815731 | -0.67423698157312 |
73 | 21 | 24.5047936737115 | -3.50479367371148 |
74 | 24 | 23.6239997545458 | 0.376000245454225 |
75 | 22 | 23.7184928290697 | -1.71849282906967 |
76 | 26 | 23.2866163265161 | 2.71338367348391 |
77 | 22 | 23.9685200453839 | -1.96852004538387 |
78 | 25 | 23.4738089019762 | 1.52619109802384 |
79 | 20 | 23.8573578249005 | -3.85735782490054 |
80 | 21 | 22.8879605842862 | -1.88796058428617 |
81 | 23 | 22.4134949360693 | 0.586505063930669 |
82 | 24 | 22.5608902300476 | 1.43910976995236 |
83 | 24 | 22.9225546395373 | 1.07744536046269 |
84 | 18 | 23.1933287307048 | -5.19332873070481 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 21.8881870327659 | 18.2458050781193 | 25.5305689874125 |
86 | 21.8881870327659 | 18.1325444651487 | 25.6438296003831 |
87 | 21.8881870327659 | 18.0226009338851 | 25.7537731316468 |
88 | 21.8881870327659 | 17.9156990617302 | 25.8606750038017 |
89 | 21.8881870327659 | 17.8115995539809 | 25.9647745115509 |
90 | 21.8881870327659 | 17.7100929380441 | 26.0662811274877 |
91 | 21.8881870327659 | 17.6109946058915 | 26.1653794596404 |
92 | 21.8881870327659 | 17.5141408683233 | 26.2622331972085 |
93 | 21.8881870327659 | 17.4193857795395 | 26.3569882859923 |
94 | 21.8881870327659 | 17.3265985558205 | 26.4497755097113 |
95 | 21.8881870327659 | 17.2356614578589 | 26.5407126076729 |
96 | 21.8881870327659 | 17.1464680388433 | 26.6299060266885 |